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Plausibility of Indeterminacy and Complex Dynamics

Author

Listed:
  • Stefano Bosi

    (EPEE, University of Evry)

  • Francesco Magris

    (EPEE, University of Evry)

Abstract

We study a pure exchange in…nite horizon economy in which a given share of consumption purchases must be paid cash in the hand of the representative consumer. We challenge the viewpoint according to which indeterminacy, sunspot equilibria and complex dynamics would require implausible features such as strong increasing returns to scale or unconventional speci…cations for fundamentals. The economy may exhibit multiple equilibria no matter which the fundamental speci…cation, the only requirement being a share of consumption to be paid cash su¢ciently low. Complex dynamics, such as chaos and cycles of any periodicity, can emerge under gross substitutability, condition usually known for eliminating such phenomena.

Suggested Citation

  • Stefano Bosi & Francesco Magris, 2002. "Plausibility of Indeterminacy and Complex Dynamics," Documents de recherche 02-08, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    • Handle: RePEc:eve:wpaper:02-08
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    References listed on IDEAS

    as
    1. Jean-Guillaume Sahuc, 2002. "Influence of Parameter Estimation Uncertainty on the European Central Banker Behavior: An Extension," Documents de recherche 02-18, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    2. Cazzavillan, Guido, 2001. "Indeterminacy and Endogenous Fluctuations with Arbitrarily Small Externalities," Journal of Economic Theory, Elsevier, vol. 101(1), pages 133-157, November.
    3. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
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    Cited by:

    1. Daria ONORI & Francesco MAGRIS & Antoine LE RICHE, 2017. "Monetary Rules in a Two-Sector Endogenous Growth Model with Cash-in-Advance Constraint," LEO Working Papers / DR LEO 2504, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    2. Antoine Le Riche & Francesco Magris, 2016. "Decreasing Transaction Costs and Endogenous Fluctuations in a Monetary Model," Economics Bulletin, AccessEcon, vol. 36(4), pages 2381-2393.
    3. Magris, Francesco & Onori, Daria, 2024. "Taylor and fiscal rules: When do they stabilize the economy?," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 68-89.
    4. Le Riche, Antoine & Magris, Francesco & Parent, Antoine, 2017. "Liquidity Trap and stability of Taylor rules," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 16-27.

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    More about this item

    Keywords

    cash-in-advance; indeterminacy; sunspot; chaos;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money

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